54p^2+87p+28=0

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Solution for 54p^2+87p+28=0 equation:


Simplifying
54p2 + 87p + 28 = 0

Reorder the terms:
28 + 87p + 54p2 = 0

Solving
28 + 87p + 54p2 = 0

Solving for variable 'p'.

Factor a trinomial.
(7 + 6p)(4 + 9p) = 0

Subproblem 1

Set the factor '(7 + 6p)' equal to zero and attempt to solve: Simplifying 7 + 6p = 0 Solving 7 + 6p = 0 Move all terms containing p to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 6p = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 6p = 0 + -7 6p = 0 + -7 Combine like terms: 0 + -7 = -7 6p = -7 Divide each side by '6'. p = -1.166666667 Simplifying p = -1.166666667

Subproblem 2

Set the factor '(4 + 9p)' equal to zero and attempt to solve: Simplifying 4 + 9p = 0 Solving 4 + 9p = 0 Move all terms containing p to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 9p = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 9p = 0 + -4 9p = 0 + -4 Combine like terms: 0 + -4 = -4 9p = -4 Divide each side by '9'. p = -0.4444444444 Simplifying p = -0.4444444444

Solution

p = {-1.166666667, -0.4444444444}

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